Research page of Samuele Giraudo

Home – Research – Teaching

Click on the bib links associated with each element to display bibliographic data in BibTeX format (work-in-progress).

Preprints

  1. Fundamental and homogeneous bases of Hopf algebras built from nonsymmetric operads
  2. Polynomial realizations of Hopf algebras built from nonsymmetric operads
  3. Operad Structure of Poset Matrices
  4. Clones of pigmented words and realizations of special classes of monoids
  5. Operads on graphs: extending the pre-Lie operad and general construction

Published works

  1. Operads of packed words, quotients, and monomial bases
  2. The music box operad: Random generation of musical phrases from patterns
  3. Operads of decorated cliques II: Noncrossing cliques
  4. The combinator M and the Mockingbird lattice
  5. Cliff operads: a hierarchy of operads on words
  6. Mockingbird lattices
  7. Three Fuss-Catalan posets in interaction and their associative algebras
  8. Disorders and permutations
  9. Duality of graded graphs through operads
  10. Operads of decorated cliques I: Construction and quotients
  11. Tree series and pattern avoidance in syntax trees
  12. Generation of musical patterns through operads
  13. Three interacting families of Fuss-Catalan posets
  14. Graph insertion operads
  15. Colored operads, series on colored operads, and combinatorial generating systems
  16. Quotients of the magmatic operad: lattice structures and convergent rewrite systems
  17. Unshuffling permutations: Trivial bijections and compositions
  18. Nonsymmetric Operads in Combinatorics
  19. Generalizations of the associative operad and convergent rewrite systems
  20. Algorithmic and algebraic aspects of unshuffling permutations
  21. Combalgebraic structures on decorated cliques
  22. Combinatorial Hopf algebras from PROs
  23. Operads from posets and Koszul duality
  24. Pluriassociative algebras II: The polydendriform operad and related operads
  25. Pluriassociative algebras I: The pluriassociative operad
  26. Operads, quasiorders, and regular languages
  27. Unshuffling Permutations
  28. Hopf algebra structure on packed square matrices
  29. Combinatorial operads from monoids
  30. Enveloping operads and bicoloured noncrossing configurations
  31. Construction d’opérades ensemblistes à partir de monoïdes
  32. Constructing combinatorial operads from monoids
  33. Algebraic and combinatorial structures on pairs of twin binary trees
  34. Intervals of balanced binary trees in the Tamari lattice
  35. Algebraic and combinatorial structures on Baxter permutations
  36. Balanced binary trees in the Tamari lattice

Theses

  1. Habilitation thesis
  2. PhD thesis
  3. Master thesis

Talks

  1. Natural Hopf algebras and polynomial realizations through related alphabets
  2. Natural Hopf algebras of operads and their polynomial realization
  3. Polynomial realizations of Hopf algebras from operads
  4. Computing with trees
  5. Some enumerative and order-theoretic properties in combinatory logic
  6. The Mockingbird system Order-theoretic and enumerative properties
  7. The Mockingbird lattice
  8. Clones of pigmented words and realizations of varieties of monoids
  9. Logique combinatoire et treillis
  10. An introduction to operator structures: operads
  11. Une promenade autour des termes, des opérades et des clones
  12. Operads of musical phrases and generation
  13. Clone realizations of semigroup varieties
  14. Some combinatorial aspects of combinatory logic
  15. Interstice operads of words
  16. Rewrite systems on free clones and realizations of algebraic structures
  17. A hierarchy of operads on words
  18. Calimba: a language for computer music
  19. Combinatorial realizations of algebraic structures
  20. Associative algebras on cliffs
  21. Cliff posets and algebras
  22. Random generation of musical patterns through operads
  23. Pattern avoidance in trees, operads, and enumeration
  24. Combinatorial operads, rewrite systems, and formal grammars
  25. Graded graphs and operads
  26. Combinatorics, operations, and graded graphs
  27. Some combinatorial structures related to operads
  28. Tree rewriting and enumeration
  29. Algebraic structures, series, and enumeration
  30. Opérades, séries formelles et arbres à motifs exclus
  31. Séries d’arbres, motifs exclus et opérades
  32. Opérades, séries et combinatoire
  33. Operads, enumeration, and constructions
  34. Bigèbres de Hopf combinatoires des pros
  35. Opérades w combinatoire
  36. Découpage d’associativité généralisé
  37. Grammaires à bourgeons
  38. Opérades des cliques décorées
  39. Grammaires et séries d’opérades colorées
  40. Unshuffling Permutations
  41. Grammaires d’opérades colorées
  42. Series on colored operads and combinatorial generation
  43. Polydendriform algebras
  44. Opérades pluriassociatives et polydendriformes
  45. From PROs to combinatorial Hopf algebras
  46. Opérades colorées et combinatoire
  47. Opérades colorées et configurations non croisées bicolorées
  48. Constructing combinatorial operads from monoids
  49. Construction of combinatorial operads
  50. L’opérade des configurations non croisées bicolorées
  51. Construction d’opérades combinatoires à partir de monoïdes et application aux algèbres de Hopf combinatoires
  52. Construction d’opérades combinatoires à partir de monoïdes
  53. Les arbres binaires équilibrés dans le treillis de Tamari
  54. Algebraic and combinatorial structures on Baxter permutations
  55. Algèbres de Hopf des permutations et des objets de Baxter
  56. Construction algébrique sur les objets de Baxter
  57. Arbres binaires de recherche : algorithmique et algèbre

Posters

  1. Combinatoire algébrique des opérations
  2. Mockingbird lattices
  3. Generation of musical patterns through operads
  4. Three interacting families of Fuss-Catalan posets
  5. Algebraic combinatorics of formal series
  6. Algebraic and combinatorial structures on decorated cliques
  7. Objets combinatoires, assemblages et désassemblages
  8. Algebraic and combinatorial structures on Baxter permutations
  9. Balanced binary trees in the Tamari lattice

Software realizations

  1. Qlusster
  2. Aclove
  3. Calimba
  4. Bud Music Box